7th Grade

{
 "voice_prompt": "",
 "manuscript": {
   "title": {
     "text": "How Is Subtracting a Negative the Same as Adding?",
     "audio": "How is subtracting a negative the same as adding?"
   },
   "description": {
     "text": "When you subtract a negative number, it's just like adding. You're really adding the additive inverse — the opposite of the number you're subtracting.",
     "audio": "When you subtract a negative number, it's just like adding. You're really adding the additive inverse — the opposite of the number you're subtracting."
   },
   "scenes": [
     {
       "text": "Let’s talk about why this works. Subtracting means taking something away. But if you're subtracting a negative number, you're taking away a negative — and taking away a negative is like gaining something! That’s why subtracting a negative is the same as adding the opposite — also called the additive inverse.",
       "latex": ""
     },
     {
       "text": "Let’s start with a temperature example. Imagine it's 5°C outside. If the forecast says the temperature will change by subtracting negative 3 degrees, you're actually adding the additive inverse of -3, which is +3. So the new temperature becomes 8°C.",
       "latex": "5 - (-3) = 5 + 3 = 8"
     },
     {
       "text": "Now picture a money situation. You owe 5 dollars — that’s negative 5. If that debt is removed, it's like adding 5 dollars to your account. You're adding the additive inverse of -5. So your balance goes back to zero.",
       "latex": "-5 - (-5) = -5 + 5 = 0"
     },
     {
       "text": "Let’s try another one. What is -4 minus -2? Subtracting -2 means adding its additive inverse, which is +2. So -4 plus 2 equals -2.",
       "latex": "-4 - (-2) = -4 + 2 = -2"
     },
     {
      {
 "text": "Here’s a simple rule to help you remember: subtracting a negative is the same as adding. So whenever you see a subtraction of a negative, think of it as 'add the opposite!'",
 "latex": "\\text{Subtraction of a negative} \\rightarrow \\text{Add the opposite}"
}
     }
   ],
   "outro": {
     "text": "When you subtract a negative number, it's just like adding. You're really adding the additive inverse — the opposite of the number you're subtracting",
     "audio": "When you subtract a negative number, it's just like adding. You're really adding the additive inverse — the opposite of the number you're subtracting."
   }
 }
}

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